Gomero Cabillas Yonel Unasam
2
Alumno: yonel gomero Profesor: trivial LIMITES TRIGONOMETRICOS lim x→0 x sen 2 x = 1 2 lim x→0 sen 3 x sen 2 x = 3 2 lim x→0 π 2 sen 2 x cos x =2 lim x→ π 2 tan x senx =∞ = 9 lim x→0 senx−tan x 1−cos x =0 lim x→ π 4 senx−cos x 1−tan x = −√ 2 2 lim x→0 tan x− senx 1−cos x =0 lim x→0 senx−tan x x =0 = -2 lim x→ π 4 1−tan 2 x 1−tan x =2 lim x→0 1−√ cos x x 2 = 1 4 = 2 = 3/5 = 3/5 lim x→0 √ 1 +senx−√ 1−senx x =1 lim x→ π 4 1−cos2 x 3 xsen 2 x = 1 3
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Transcript of Gomero Cabillas Yonel Unasam
Alumno: yonel gomero Profesor: trivial
LIMITES TRIGONOMETRICOS
limx→0
xsen2 x
= 12
limx→0
sen3 xsen2 x
=32
limx→0 π
2
sen 2xcos x
=2
limx→π
2
tan xsenx
=∞
= 9
limx→0
senx−tan x1−cos x
=0
limx→π
4
senx−cos x1− tan x
=−√22
limx→0
tan x−senx1−cos x
=0
limx→0
senx−tan xx
=0
= -2
limx→π
4
1− tan2 x1−tan x
=2
limx→0
1−√cos xx2 =1
4
= 2
= 3/5
= 3/5
limx→0
√1+senx−√1−senxx
=1
limx→π
4
1−cos 2x3xsen 2x
=13
Limx→0
senxx
=1
Limx→0
xsenx
=1
Alumno: yonel gomero Profesor: trivial
Limx→0
senx=0
Limx→0
senKxKx
=1
Limx→0
cos x=1
Limx→0
1−cos xx
=0
Limx→0
1−cos xx2
=12
Limx→0
tan xx
=1
Limx→0
xtan x
=1
Limx→0
tan KxKx
=1